6737 ÷ 7 = 962 R3
Let's divide 6737 by 7.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 2:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 67 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 3:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 42 from 43 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 7

Step 4:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 962
Subtract 14 from 17 to get 3.

The final result is 962 with a remainder of 3.